Question

using the equation a = 3r² and records areas of circles with different radius lengths in a table. answer parts a and b. radius (in.) 7 8 9 10 11 area (in.²) 147 192 243 300 363 b. is the relation a function? explain your answer. the relation a function because corresponds one

Explanation:

Step1: Recall function definition

A function is a relation where each input has exactly one output.

Step2: Check input - output pairs

For the given relation, each radius (input) has a unique area (output) as calculated by the equation $A = 3r^{2}$. For example, when $r = 7$, $A=3\times7^{2}=3\times49 = 147$; when $r = 8$, $A = 3\times8^{2}=3\times64 = 192$ and so on.

Answer:

The relation is a function because each input (radius) corresponds to exactly one output (area).